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Finding the Fourth Proportional to 408,959.06, 613,563.79 and 209,420.73

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Solution

The fourth proportional to 408,959.06, 613,563.79 and 209,420.73 is: 314,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,959.06 : 613,563.79 = 209,420.73 : x
  2. Step 2: Convert to fraction form
    408,959.06/613,563.79 = 209,420.73/x
  3. Step 3: Cross multiply
    408,959.06x = 613,563.79 × 209,420.73
  4. Step 4: Simplify right side
    408,959.06x = 128,492,976,803.37
  5. Step 5: Solve for x
    x = 128,492,976,803.37/408,959.06
  6. Step 6: Final answer
    x = 314,195.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.